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Finding the Fourth Proportional to 7,011.52, 9,676.32 and 4,027.84

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Solution

The fourth proportional to 7,011.52, 9,676.32 and 4,027.84 is: 5,558.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.52 : 9,676.32 = 4,027.84 : x
  2. Step 2: Convert to fraction form
    7,011.52/9,676.32 = 4,027.84/x
  3. Step 3: Cross multiply
    7,011.52x = 9,676.32 × 4,027.84
  4. Step 4: Simplify right side
    7,011.52x = 38,974,668.75
  5. Step 5: Solve for x
    x = 38,974,668.75/7,011.52
  6. Step 6: Final answer
    x = 5,558.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.